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Finding the Fourth Proportional to 61,143.30, 84,341.92 and 38,446.32

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Solution

The fourth proportional to 61,143.30, 84,341.92 and 38,446.32 is: 53,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,143.30 : 84,341.92 = 38,446.32 : x
  2. Step 2: Convert to fraction form
    61,143.30/84,341.92 = 38,446.32/x
  3. Step 3: Cross multiply
    61,143.30x = 84,341.92 × 38,446.32
  4. Step 4: Simplify right side
    61,143.30x = 3,242,636,445.73
  5. Step 5: Solve for x
    x = 3,242,636,445.73/61,143.30
  6. Step 6: Final answer
    x = 53,033.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.